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Finding the Fourth Proportional to 34,521.44, 51,782.08 and 13,740

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Solution

The fourth proportional to 34,521.44, 51,782.08 and 13,740 is: 20,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,521.44 : 51,782.08 = 13,740 : x
  2. Step 2: Convert to fraction form
    34,521.44/51,782.08 = 13,740/x
  3. Step 3: Cross multiply
    34,521.44x = 51,782.08 × 13,740
  4. Step 4: Simplify right side
    34,521.44x = 711,485,779.20
  5. Step 5: Solve for x
    x = 711,485,779.20/34,521.44
  6. Step 6: Final answer
    x = 20,609.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.